11261540401200 has 180 divisors, whose sum is σ = 39989526817240. Its totient is φ = 2933238389760.

The previous prime is 11261540401183. The next prime is 11261540401229. The reversal of 11261540401200 is 210404516211.

11261540401200 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 54 + 0 + 401 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×11261540401200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36219685 + ... + 36529284.

Almost surely, 2^{11261540401200} is an apocalyptic number.

11261540401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261540401200 is an abundant number, since it is smaller than the sum of its proper divisors (28727986416040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11261540401200 is a wasteful number, since it uses less digits than its factorization.

11261540401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72749036 (or 72749022 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11261540401200 its reverse (210404516211), we get a palindrome (11471944917411).

The spelling of 11261540401200 in words is "eleven trillion, two hundred sixty-one billion, five hundred forty million, four hundred one thousand, two hundred".